Analytic and Gevrey Hypoellipticity

Luigi Rodino

Publications mathématiques et informatique de Rennes (1985)

  • Volume: 3, Issue: 3, page 57-88

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Rodino, Luigi. "Analytic and Gevrey Hypoellipticity." Publications mathématiques et informatique de Rennes 3.3 (1985): 57-88. <http://eudml.org/doc/273893>.

@article{Rodino1985,
author = {Rodino, Luigi},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {analytic hypoellipticity; Gevrey hypoellipticity; operators of principal type; multiple characteristics; involutive characteristics},
language = {eng},
number = {3},
pages = {57-88},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Analytic and Gevrey Hypoellipticity},
url = {http://eudml.org/doc/273893},
volume = {3},
year = {1985},
}

TY - JOUR
AU - Rodino, Luigi
TI - Analytic and Gevrey Hypoellipticity
JO - Publications mathématiques et informatique de Rennes
PY - 1985
PB - Département de Mathématiques et Informatique, Université de Rennes
VL - 3
IS - 3
SP - 57
EP - 88
LA - eng
KW - analytic hypoellipticity; Gevrey hypoellipticity; operators of principal type; multiple characteristics; involutive characteristics
UR - http://eudml.org/doc/273893
ER -

References

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  1. [1] : M.S. Baouendi- C. Goulaouic"Non analytic-hypoellipticity for some degeoperators, Bull. Amer. Math. Soc.78 (1972) , 483-486. Zbl0276.35023MR296507
  2. [2] : P. Bolley- J. Camus- G. Métivier"Régularité Gevrey et itérés pour une classe d'opérateurs hypoelliptiques", Rend. Sem. Mat. Univ. PolitecnicoTorino, 40(1982) , to appear. Zbl0542.35022
  3. [3] : B. Helffer "Invariants associés à une classe d'opérateurs pseudo différentiels et applications à l'hypoellipticité", Ann. Inst. Fourier, 26(1976) , 55-70. Zbl0301.35026MR413199
  4. [4] : L. Hörmander"Uniqueness theorems and wave front sets for solutions of near differential equations with analytic coefficients", C.P.A.M., 24 (1971) 671-704. Zbl0226.35019MR294849
  5. [5] : L. Hörmander"Fourier integral operators" , I, Acta Math., 127(1971), 79-183. Zbl0212.46601MR388463
  6. [6] : L. Hörmander"Spectral analysis of singularities", Seminar on singularities of solutions(1978), Princeton University Press. Zbl0446.47045
  7. [7] : L. Hörmander"The analysis of linear partial differential operators", I, II (1983) , Springer-Verlag. Zbl0521.35001MR717035
  8. [8] : O. Liess- L. Rodino "A general class of Gevrey-type pseudo differential operators", Journées " E.D.P.", Saint Jean de Monts, 1983. Zbl0516.35086
  9. [9] : O. Liess- L. Rodino"Inhomogeneous Gevrey classes and related pseudo differential operators", Boll. Un. Mat. It., 4-C (1984), to appear. Zbl0557.35131MR749292
  10. [10] : G. Métivier"Analytic hypoellipticity for operators with multiple characteristics", C.P.D.E. , 6 (1981), 1-90. Zbl0455.35040
  11. [11] : G. Métivier"Non-hypoellipticité analytique d'opérateurs à caractéristiques doubles", preprint. Zbl0489.35033
  12. [12] : L. Rodino"On the Gevrey wave front set of the solutions of a quasi-elliptic degenerate equation", Rend. Sem. Mat. Univ. Politecn.Torino, 40(1982), to appear. Zbl0557.35014MR745986
  13. [13] : J. Sjöstrand"Singularités analytiques microlocales", Astérisque95(1982) 1-166. Zbl0524.35007MR699623
  14. [14] : J. Sjöstrand, Rend. Sem. Mat. Univ. Politecn.Torino40 (1982) , to appear. 
  15. [15] : F. Trèves"Analytic hypoellipticity for partial differential equations Of principal type", C.P.A.M., 24 (1971), 537-567. Zbl0222.35014
  16. [16] : F. Trèves"Introduction to pseudodifferential and Fourier integral operators" I, II, (1980) , Plenum Press. Zbl0453.47027MR597145

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